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    Research Topic: Structural Optimizationand Investigation of a Multi-storey

    Building

    (Adopting Finite Element Methods enhance by StruSoft FEM-Design package)

    Compiled by

    Super!ised by

    Submitted "n

    Table of onten

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    Abstract...............................................................................................................................................3

    1 Introduction and Research Background......................................................................................4

    1.1 Research Aim.......................................................................................................................51.2 Research Objectives.............................................................................................................5

    1.3 Methodoog!........................................................................................................................"

    1.4 #ontent o$ %hesis................................................................................................................."

    2 &iterature Revie'........................................................................................................................(

    2.1 )arier methods used $or structura ana!sis and design o$ indeterminate structures..........(

    2.1.1 *istorica conce+t o$ ana!tica a++roach $or civi engineering structures..................(

    2.1.2 #ommon sim+i$ied *and #acuation method $or structura ana!sis......................12

    2.1.3 2., c- o+e/0e$ection Method 0is+acement method-...........................................15

    2.1.4 Moment/ 0istribution Method....................................................................................1

    2.1.5 Method o$ #oumn Anaog!.......................................................................................1"

    2.1. Insu$$icienc! o$ the manua sim+i$ied *and #acuation method $or structura

    ana!sis 1,

    2.2 Advanced com+utationa method numerica simuations- used $or structura ana!sis and

    design o$ indeterminate structures................................................................................................1,

    2.2.1 %echnoogica innovation in tructura engineering...................................................1,

    2.3 2.2 Reevance o$ In$ormation %echnoog! to )ngineering................................................1,

    2.3.1 inite eement Methods $or numerica simuation $or com+e ana!sis...................2

    2.4 ummar! o$ #ha+ter 2.......................................................................................................22

    3 tructura o+timisation o$ )M structura ana!sis and design................................................23

    3.1.1 0iscuss $o' chart.......................................................................................................23

    3.1.2 #ommon *ighight methods $or structura o+timisation............................................23

    4 Resuts +resentation6 Inter+retation and 7aidation...................................................................24

    A++endi A.......................................................................................................................................25

    A++endi B.......................................................................................................................................2

    Risk Assessment............................................................................................................................2

    Re$erences.........................................................................................................................................2"

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    !bstract%his +a+er intends to +resent the structura investigation and o+timi8ation o$ a three store! buid

    $or both concrete and stee design in accordance to )urocode +rescri+tion. %he truo$t )

    simuations 'oud be use to accom+ish the investigation and o+timi8ation6 e+oring the suitabe

    techni9ues o$ im+roving structura e$$icienc! in modeing and ana!8ing modern da! structures.

    Both tatic and d!namic &oading conditions 'oud be use to test the modes to $aiure and then

    o+timi8e the mode structura arrangement to achieve o+tima satis$action on the conditions

    name!: structura integrit! +rogressive coa+se6 atera stabiit!-6 aesthetics6 intend +ur+ose o$

    structure and ast! economics.

    Resuts obtained $rom the simuations 'oud be vaidated 'ith manua cacuations o$ sim+i$ied

    structura ana!sis methods.

    &ast!6 the research aims are remarking on the +ro$icienc! in ado+ting truo$t ) $or structura

    investigation and o+timisation.

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    " Introduction and Research Bac#ground

    %he conce+t o$ stud!ing the structura +er$ormance o$ a civi engineering structure has deviate

    $rom conducting arge scae aborator! e+eriments 'hich are ver! e+ensive to the ado+tion o$

    numerica simuations &iang6 24-.

    In recent engineering industries6 the use o$ numerica simuations has serve as an o+timi8ation too

    to +redict the structura +er$ormance o$ various civi engineering structures. %his advancement o$

    structura ana!sis has gro'n ra+id! 'ith the ca+acit! rate o$ com+uter aided a++ications s+eed

    o$ iterating mathematica e9uations &i and #hen6 2(-. %hus6 the rigor in $ormuating severamathematica e9uations to sove a design +robem is o+timi8ed b! eiminating error caused b!

    manua design: des+ite the com+uter is a cabbage in6 cabbage out s!stem. inite eement method

    )M- is a +o+uar structura ana!tica a++roach ado+ted b! most o$ these structura engineering

    so$t'are +ackages Arora6 212-.

    urthermore6 the conce+tive ideoog! o$ design o+timi8ation b! ;a+aambros and imon 1(55-.

    #onsidering a t!+ica modern o$$ice 'ith its design $eatures having beams su++orted b! coumns

    arrange in ba!s in ro's and coumn 'ise. %he buiding must be ca+abe to resist static oading

    dead and 9uasi/ive oads- and d!namic oading earth9uakes and storms- and modest +roject

    eecution cost Bertsekas6 1(((-. %he main concern o$ the governing the design o$ the buiding

    'oud be $aiure o$ the buiding structura eements. or instance6 a designer 'oud +re$er the

    structura $aiure o$ the buiding to be re+airabe: more 'oud +re$er an in'ard coa+se to a

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    to++ing coa+se. Another t!+ica eam+e is designing o$ a rein$orced beam as an under rein$orce

    to over/rein$orced $or ductiit!6 that is enough redistribution o$ oad be$ore sudden $aiure.

    In regards to the di$$erent modes o$ $aiure that coud be ehibited b! a structura member in the

    buiding6 this su++orts the $act o$ tr!ing to o+timi8e the design b! considering di$$erent etreme

    oading on a de$ine mode o$ the buiding6 there$ore a structura engineering so$t'are 'oud be

    ca+abe o$ doing justice to this concern. =ot'ithstanding6 the non inear behavior o$ the entire

    structura eements usua! a++roimated b! conversant e+eriences $rom +ractice and rue o$

    thumb are overcome Bends?e and igmund6 23-. ;robems such as beam bucking6 initia

    boundar! conditions6 and automated seection o$ members to standard $rom di$$erent cataogues

    are +recise! and $riend! de$ined in most structura engineering so$t'ares.

    %hus6 the research $ocuses on the design investigation and o+timi8ation o$ the numerica

    simuation +ackage6 truo$t )M. *ence6 the aim and objectives these thesis is isted in the net

    sections.

    "$" Research !im

    %o investigate the structura +er$ormance and o+timi8ation o$ the structura con$iguration o$ a 5

    store! rein$orced concrete and a 5 store! stee structure o$$ice buiding 'ith truo$t )M.

    "$% Research Ob&ectives 0eveo+ a detaied mode o$ a 3 store! rein$orced concrete buiding and stee structures

    'ith detaied bracings

    0e$ined etreme oading combination intended to test the structures to $aiure

    =et6 investigate the structura +er$ormance o$ each structura eements and then carr!out

    +arametric stud! $or the most robust and e$$icient sections.

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    'igure " (levation of proposed model) * storey o+ce building

    Itemi8ed the +art o$ the modes such as the shear 'a and evauate to investigate the

    additiona sti$$ness to structure.

    Accidenta oading condition 'oud be investigated in res+ect to +rogressive coa+se.

    'igure % Typical 'loor ,lan of the proposed models

    urthermore6 the soi interaction o$ the o$$ice buiding substructure and resting earth 'oud

    be investigated 'ith a di$$erent de$ine bearing soi conditions.

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    Resuts 'oud be vaidated 'ith sim+i$ied hand cacuation $or singe structura eements

    in the mode $or the stress enveo+es com+uted $rom the .) simuation.

    "$ Methodology

    As stated earier6 the $inite eement method 'oud be use as the structura ana!tica method to

    conduct this investigation and o+timsation. %he summar! o$ the +rocedure are isted beo'@

    0eveo+ both the concrete and stee modes on di$$erent $ies in truo$t ). Methods o$

    im+ort #A0 $ies $rom other a++ication 'oud be e+ored in the so$t'are to check $or

    modeing e$$icienc!.

    0e$ine di$$erent oad cases and oading combinations in accordance to )urocode6 )= 1((1.

    %he entire design 'oud be done to )urocode 2 $or the concrete design and )urocode 3 $or

    the stee design. &oad cases to be taking account $or are 'ind oad6 gravit! oad and

    d!namic oading.

    A++ication o$ the di$$erent oad combination on both modes and investigates both oca

    $aiures and goba $aiures o$ structure members. )ach oading combination 'oud be

    identi$ied 'ith the mode o$ coa+se mechanism o$ the modes

    =et6 concurrent! 'ith vaidation o$ the stress enveo+es obtained $rom each oading

    combinations6 o+timsation o$ the structure 'oud be carr! out. =e' members and

    modi$ication o$ the initia mode structura arrangement 'oud be done as 'e.

    %he o+tima resoution o$ the both mode 'oud be on the basis o$ structura integrit!6

    aesthetics6 buiding re9uired $unctions and economics.

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    o$ +revious methods o$ structura ana!sis such as static to indeterminate structures ana!tica

    +robems.

    Chapter 3+resents detais e+anation o$ the +rocess o$ investigating and o+timi8ing both the

    concrete and stee 3 store! o$$ice buiding modes.

    In chapter 46 vaidation o$ the critica stressed members $rom the ) simuations are eecuted b!

    com+aring resuts 'ith sim+! $ind hand methods. 0etaied eam+es o$ each critica stressed

    structura eement 'oud be sho'n. #om+arison o$ o+timi8ed modes $or both the concrete and

    stee structure 'oud be tabuated as 'e.

    Chapter 5 #oncusion regard to the outcomes o$ using truo$t ) $or structura $aiure

    investigation and o+timi8ation 'oud be em+hasi8ed 'ith recommendation and $uture research

    +ro+osas.

    % /iterature Revie0

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    Ac9uisition o$ su$$icient kno'edge $rom iteratures o$ reated subjects to this research 'oud be

    e$$icient $or a grounded understanding to attain the aims and objectives earier stated in +revious

    cha+ter. %he $oo'ing subjects 'oud be revie'ed:

    )arier methods used $or structura ana!sis and design o$ indeterminate structures Advanced com+utationa method numerica simuations- used $or structura ana!sis and

    design o$ indeterminate structures.

    %$" (arlier methods used for structural analysis and design of

    indeterminate structures

    %$"$" 1istorical concept of analytical approach for civil engineering

    structures

    cienti$ica!6 the conce+ts o$ structura ana!sis are rues or theories a++roimate! ado+ted $or

    structura modes 'hich coud be more or ess accurate- and oads that are reative! +ro+ortion

    ensuring sa$e transmission o$ the im+osed oads. %his $act can be concise into di$$erent subjects

    'hich are numerica methods6 materia mechanics and engineering modeing Cac9ues6 1(((-.

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    'igure the olosseum in Rome 2 Italy

    Iconic civi engineering structures ana!se and design in accordance these scienti$ic rues and

    theories are sti $unctiona and maintainabe $or their design +ur+osed. )vidence to +roo$ such are

    name! %he #oosseum and the ;antheon in Rome6 the Dreek tem+es6 the A!a o$ia in Istanbu6

    the eotic architectura ancient gothic cathedra 'hich 'ere buit 'ithout com+utationa

    a++ications.

    'igure . !ya So3a in Istanbul2 Tur#ey

    'igure * Imperial athedral2 'ran#furt$

    %hese rues and theories o$ +ro+ortion 'ere estabish base on through e+erience and +ractica

    training b! the ear! the earier medieva master 'hom norma! oversee the both the aesthetics

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    and architectura design. %his on! change during the medieva Renaissance 'hen man! detais are

    then given to the structura ana!sis a++roach and architectura design Cac9ues6 1(((-.

    %he beginning renaissance on the histor! o$ structura ana!sis coud be divided in $ive di$$erent

    +eriods 'hich are the preparation time 15"5/1,25-6 Discipline Creation 1,25/1(-6

    Consolidation period 1(/1(5), the Integration 1(5/1("5- and the diffusion era 1("5 ti

    +resent- Eurrer6 22-.

    The preparation timestarted 'ith the conce+t o$ strength o$ materia 'here 0iscorsi Daieo

    13,- evauate the strength o$ a cantiever 'ooden beam $ied in a masonr! 'a to be

    +ro+ortiona to the 'idth and s9uare the height 6 $urthermore observing the structura +er$ormance

    as the oad increases. *o'ever the initia resut 'as noticed to be 'rong in regards to the

    assum+tion o$ uni$orm stress. Other researchers at this time Robert *ooke 'as base the ana!tica

    a++roach 'as based on easticit! o$ the materia $or sa$e oad imits. %he earier researchers $orms

    the basis o$ structura ana!sis 'hich 'as $urther 'orked on b! recognised mathematicians 'hich

    are 0anie and Cacob Bernoui 14/1"1- 6continuation o$ Daieo $indings on bending and

    &eonard )uer.

    Fet6 sti 'ith these avaiabiit! o$ kno'edge6 structura ana!sis i$ com+e structura eement

    'ere imited. %he cause the curiosit! o$ the mathematica brothers in ado+ted the in$initesima

    cacuus to evauate the beam strength about 5 !ears ater. %his brought ight into engineering that

    a state/o$/art 'as the created $or civi engineering.

    urthermore the Discipline eraas research interest increases in in design s+eci$ic oad to a

    considerabe geometr! structura eements6 *ent! =aiver 1",5/1,3- 'orked on the strength o$

    'ood and stee construction materia using di$$erent oading conditions and measuring the stresses

    at eastic imits o$ the oaded structura eements. %his 'as done o$ determinate structure su++orted

    b! e9uiibrium e9uations. %he e9uiibrium e9uation de$ines the interna $orces in the structura

    eement is e9ua to the eterna $orces. evera e+erimenta modi$ications 'as carried to obtained

    accurac! and o+timisation resuts using +ractica e+eriences but di$$erent researcher on the basis

    o$ *ookeGs a' easticit! conce+t $or beams.

    Other researcher ike Ear #uman 1,21/1,,1- then s+eciaised on truss theor! b! deveo+ing a

    gra+hica method o$ ana!sing the stresses on the truss members. &ater on Ma'e6 #astigiano6

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    Otto Mohr and MHuer/Bresau ater deveo+ sim+i$ied a++roaches $or ana!sis com+e structure

    on the basis o$ sim+e beam theor! and to reduce the rigor mathematica derivations using

    in$initesima cacuus. Ma'e a++roach can be highighted as a reci+roca theorem 'hich ess

    cumbersome to in$initesima cacuus 6 'hie #astigiano a++roach is based on a so+e/de$ection

    method 'hich is sti has series o$ cumbersome com+atibiit! e9uations but +re$erabe to the

    in$initesima cacuus. MHuer/Bresau 1,51/1(25- deveo+ed the $orce/dis+acement method b!

    detaching the indeterminate structura s!stem and ana!sis b! $irst a virtua $orce and the eterna

    oad. %he stresses are obtained b! su+er+osition o$ both oading conditions and integration o$ the

    broken structura s!stem.

    The consolidation era,ne' theories 'here deveo+ in regards to the structura +er$ormance

    o$ structure. %he discovered o$ rein$orced concrete 'as $ound in Derman! 'hich move the civi

    engineering construction to $rame t!+e o$ structure. %hus the need o$ ana!sing the structure in

    t'o dimension $orms 'as necessar! such as she6 +ates and indeterminate structure. %he *ard!

    cross method 'as deveo+ 'hich coud be used to evauate the bending stresses aong at

    connection o$ structura members to desire degree o$ accurac! 'hich is sti a ver! use$u

    ana!tica method $or checking com+utationa resuts. Moreover6 the stee construction also

    deveo+s6 b! incucating the +astic hinges into the static e9uiibrium $or +astic design. %he British

    stee industr! 'as the $irst to $ind to ado+t the in$uence o$ +astic design on stee construction.

    %his a++roach 'as encouraged as an economica a++roach o$ o+timising the stee materia.

    %$"$% ommon simpli3ed 1and alculation method for structural analysis

    %he! are various methods o$ ana!sing the structura members o$ a structure. %his enabes

    structura engineers to have a good and accurate data in their structura ana!sis resuts. %hese

    methods aso aid as a check method $or structura ana!sis resut resoved b! another method o$

    ana!sis b! another structura engineer. *ence some o$ these methods have their imitations and

    bene$its de+ending on the t!+e o$ structure that is to be ana!sed.

    %he common methods o$ structura ana!sis are as $oo's@

    a- Ana!sis o$ statica! indeterminate beams and $rames b! the method o$ consistent

    0e$ormation

    b- %he three/moment )9uation

    c- %he so+e/de$ection method

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    d- %he moment/ distribution method

    e- %he method o$ coumn Anaog!

    In accordance to the sco+e o$ the +roject 'hich $ocuses on continuous beams and rigid $rame6

    these various methods o$ ana!sis 'oud be concern 'ith these structura members. Moreover

    these structura $rame'orks continuous beams and rigid $rame- are indeterminate structures.

    2.1.2.1Analysis of statically indeterminate beams and frames by the

    method of consistent Deformation (force method)

    %he method o$ consistent de$ormation is the most genera method o$ ana!sing statica!

    indeterminate structures. #onsider a structure 'hich is statica! indeterminate because it has more

    than ade9uate eterna su++orts $or static stabiit!. %he number o$ eterna reaction com+onents

    one $or each roer su++ort6 t'o $or each hinge su++ort6 and three $or each $ied su++ort- 'hich

    are necessar! and su$$icient $or static stabiit! is e9ua to the number o$ conditions $or static

    e9uiibrium. I$ the ecess su++orts are removed and re+aced b! unkno'n $orce or moment-

    reactions6 a basic determinate structure must nevertheess sti satis$! the +h!sica re9uirements at

    the ocation o$ the ecess su++orts no' re+aced b! redundant reactions. I$ a roer su++ort has

    been removed at a certain +oint6 the re9uirement is that the de$ection in the direction

    +er+endicuar to the su++orting sur$ace must be 8ero: i$ a hinge su++ort has been removed6 the t'o

    re9uirements are that the hori8onta and vertica de$ections at the +oint must both be 8ero: i$ a

    $ied su++ort has been removed6 the three re9uirements are that the rotation and hori8onta and

    vertica de$ections at the +oint must be 8ero.

    %hus there are a'a!s as man! +h!sica condition o$ geometr! as there are redundant reactions.

    A$ter the redundant reaction com+onent are $ound b! using the condition o$ geometr!6 the

    remaining t'o or three reaction com+onents can be resoved b! the e9uation the e9uations o$

    statics #hu/kia 1(5-.

    2.1.2.2 Three-Moment Eqation (force method)

    %he three/moment e9uation e+ress the reation bet'een the bending moments at three successive

    su++orts o$ a continuous beam6 subjected to a certain a++ied oading on the various s+ans6 'ith or

    'ithout une9ua settements o$ su++orts. %his reaction can be derived on the basis o$ the continuit!

    o$ the eastic curve over the midde su++ort: that is6 the so+e o$ the tangent at the right end o$ the

    e$t s+an o$ the e$t s+an must be e9ua to the so+e o$ the tangent at the e$t end o$ the right s+an.

    #hu/kia6 1(5-

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    %his three moment e9uation e+resses the reation bet'een the bending moments at three

    successive su++orts o$ a continuous beam subjected to oading on the various s+ans 'ith or

    'ithout settement o$ su++orts. *ere moments at the su++orters are taken as unkno'ns. It is a $orce

    method o$ ana!sis. A statica! determinate soution is $irst assumed satis$!ing the e9uiibrium

    re9uirements. %he com+atibiit! condition is then im+osed. In the case o$ continuous beam the

    com+atibiit! condition is continuit! o$ the beam over intermediate su++ort6 'hich is the so+e o$

    the tangent at the e$t end o$ the right s+an6 is e9ua to the so+e o$ the tangent o$ the right end o$

    the e$t s+an Ro! et a6 23-.

    Ma(L1I

    1)+2Mb(L1I

    1

    +

    L2

    I2)+Mc(L2I

    2)=6 A1a1I

    1L

    1

    6A

    2a2

    I2L

    2

    +6Eha

    L1

    ++6Ehc

    L2

    %he above e9uation is kno'n as three/moment e9uation.

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    %$"$ Slope-4e5ection Method 64isplacement method7

    %he so+e de$ection method can be used to ana!se a t!+es o$ statica! indeterminate beams or

    rigid $rames. In this method a joints are considered rigid: i.e.6 the anges bet'een members at the

    joints at the interior su++orts o$ statica! indeterminate beams can be considered 1,L rigid joints:

    and ordinari! the joints in rigid $rames are (L rigid joints.

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    iv. ove $or the rotations at a su++orts.

    v. ubstitute the rotations back into the so+e/de$ection e9uations6 and com+ute the end

    moments.

    vi. 0etermine a reactions6 dra' shear and moment diagrams6 and sketch eastic curve.

    It can no' be summari8ed that the so+e de$ection method is a dis+acement sti$$ness- method

    that em+o!s the e9uation o$ e9uiibrium in the direction o$ the degrees o$ $reedom o$ the structure

    in terms o$ the joint rotations and dis+acement +er+endicuar to each member. %his method is the

    $orerunner o$ the matri sti$$ness method but is not easi! +rogrammed and hence has imited use.

    or sma structures it can serve as an e$$icient hand method Ro! et a6 23-.

    %$"$. Moment- 4istribution Method

    %he moment/distribution method can be used to ana!se a t!+es o$ statica! indeterminate beams

    or rigid $rames. )ssentia! it consists in soving the simutaneous e9uations in the so+e/de$ection

    method b! successive a++roimations. %hus the moment/distribution method consists in

    successive! ocking and reeasing the joints: the $irst ocking moment is the $ied/end moment

    due to a++ied oading6 a$ter the $irst baancing: the successive ocking moments are carr!/over

    moments 'hich are induced to act at the other ends o$ the res+ective s+ans b! the baancing

    moments. In a++!ing this method6 it is advisabe to $irst +ut do'n the signs in an! one at the same

    time and then the numerica vaues. %his he+s the com+uter to concentrate on one o+eration at a

    time #hu/kia 1(5-.

    In $act essentia! it consists o$ soving the simutaneous e9uations o$ the so+e de$ection method

    b! an interactive techni9ue. It is not an a++roimate method but a method o$ successive

    a++roimation 'here an! degree o$ accurac! can be obtained b! re+eated iteration. %he moment

    distribution is not a'a!s recogni8ed as a de$ormabe variabe method because the com+utations

    are carried out in terms o$ moments +roduced b! the changes in the de$ormabe variabe. %his is a

    advantageous because in structura +robems 'e are interested in $inding the bending moments

    rather than so+es and de$ections. Be$ore the advent o$ com+uters6 this method deveo+ed b!*ard! #ross 1(3- 'as ver! +o+uar. )ven in this age o$ com+uter6 the method 'i method 'i

    be use$u in +reiminar! designs and checking o$ com+uter resuts Ro! et a6 23-.

    In checking the end moments in this method o$ ana!sis6 the moment/distribution tabe begins 'ith

    reative sti$$ness and $ied/end moments and ends 'ith $ina end moments. A check can be made to

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    that the correct end moments have been obtained on the basis o$ the reative sti$$ness and $ied/end

    moments at the head o$ the tabe #hu/kia 1(5-.

    %he im+ortant ste+s in moment distribution method are@

    0etermination o$ $ied end moments

    0istribution o$ unbaanced moment in +ro+ortion to sti$$ness o$ the members at a joint

    %o carr! over ha$ the moment to the $ar end o$ the member assuming it to be

    %$"$* Method of olumn !nalogy

    #oumn anaog! method 'as deveo+ed b! ;ro$ *ard! #ross in 1(3: it is used $or soving

    statica! indeterminate structures ike indeterminate beams and $ied arches. It is aso use$u in

    cacuating sti$$ness and carries over $actors $or beams +articuar! 'ith variabe section. Denera

    soution o$ a statica! indeterminate structure o$ 3rd

    degree invoves soution o$ three simutaneouse9uations 'hich is ong and tedious. #oumn anaog! method trans$orms the +robem to routine

    cacuation o$ +ressures in a short biaia eccentric oad Ro! et a6 23-.

    %he method o$ coumn anaog! is most use$u in the ana!sis o$ beams and curved 'ith t'o $ied

    su++orts and o$ rigid $rames6 either 'ith t'o $ied su++orts JcosedK 'ith one ceK inside. %he

    ana!sis o$ these structures6 'hich are statica! indeterminate to the third degree6 b! the method o$

    consistent de$ormation invoves the soution o$ three simutaneous e9uations.

    In the method o$ coumn anaog!6 ho'ever6 the moment at an! +oint in the given structure can be

    com+uted direct!. ;robab! the most etensive use o$ the method is in the com+utation o$ sti$$ness

    and carr!/over $actors $or members 'ith variabe cross sections and in the ana!sis o$ cosed rigid

    $rames and $ied arches.

    %his method cabe to determine the $ied moment o$ a +rismatic member due to the a++ied

    oading 'i no' be deveo+ed. Aso6 the method can be used to determine the $ied/end moments

    on a straight member 'ith variabe cross sections6 'hen it is subjected to a++ied oads in the

    transverse direction #hu/kia 1(5-.

    %$"$8 Insu+ciency of the manual simpli3ed 1and alculation method for

    structural analysis

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    It coud be cear! seen the transmission o$ curious structura investigation to attaining accurac!

    and o+timisation o$ structura ana!sis and design methods $rom the earier 1th centur!. *o'ever6

    sti in in$uence o$ com+utationa a++roach a have enhance these a++roaches 'ith ne' numerica

    soution +ro$$ered. More detais to be discussed in section 2.2

    %$% !dvanced computational method 6numerical simulations7

    used for structural analysis and design of indeterminate

    structures

    %$%$" Technological innovation in Structural engineering

    %he term I#% means in$ormation6 #ommunication and %echnoog!. %aken se+arate!6 in$ormation

    im+ies $act tod6 heard or discovered about a thing or +erson6 +ace6 events6 issues6 etc.

    #ommunication6 on its +art6 means the +rocess or action o$ +assing on in$ormation6 'hie

    %echnoog! is the scienti$ic stud! and the use o$ a++ied sciences to +ractica tasks in industr!

    Atkinson et a6 1((-.

    On their o'n6 each o$ these conce+ts does not make meaning$u im+act nor e+ains the

    signi$icance o$ the term6 I#%. %he use o$ the I#% is the integration o$ the three se+arate 'ords6

    in$ormation6 #ommunication and %echnoog!. %his integration he+s in achieving greater ca+acit!

    to make in$ormation more readi! avaiabe to users in more e$$icient and e$$ective manner. In

    other 'ords6 in$ormation and communication have come to have greater meaning and im+act 'ith

    the ra+id deveo+ment in technoog!. %echnoog! has made it +ossibe $or the transmission o$

    variet! o$ communication devices incuding voice6 data6 visuas6 etc over ong distances and

    simutaneous! through the internet Adu6 24-.

    2.3 2.2 Relevance of Information Technology to Engineering

    I#%s make it +ossibe to ac9uire6 store6 and transmit in$ormation in a common digita $ormat.

    #ommon standards $or com+uter so$t'are can be designed to mani+uate this in$ormation so that it

    becomes 'ide! accessibe.

    o$t'are based on de$ined and agreed standards +rovides a basis $or universait! in the

    mani+uation o$ codi$ied in$ormation. ;revious! the echange o$ in$ormation had to be based on a

    common inguistic contet that 'as de+endent on a common! understood anguage. o$t'are

    +ermits some anguage barriers to be overcome b! +roviding a common contet in 'hich codi$ied

    18

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    in$ormation can be stored and mani+uated. In this sense6 so$t'are/based s!stems are becoming

    tru! goba technoogies #om+uter Integrated 0esign And #onstruction6 1(((-.

    %he $ast/moving 'ord o$ in$ormation technoog! con$ronts the civi engineer 'ith constant

    change. %his creates chaenges $or educators and students because

    ra+id change re9uires curricua

    to be $eibe and educators to gain com+etenc! and access to ne' e9ui+ment and so$t'are.

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    %$$" 'inite element Methods for numerical simulation for comple9 analysis

    %his method is the most advance method o$ structura ana!sis. It ana!ses the stress and strain

    structura members in $inite +artices6 hence +roducing a more accurate and a++roimate vaue

    com+ared to other method o$ ana!sis discuss above. But6 the moment distribution method o$

    ana!sis +roduce is a ver! cose ana!sis resut 'hen com+ared 'ith $inite eement method. It is a

    good aternative to $inite eement ana!sis i$ the structura members are to be ana!sed manua.

    (ig)re * (inite element analy!e! +ith Str)Soft !ho+ing me!h pattern! on floor and +all!

    %his method o$ ana!sis is ver! so+histicating i$ to be ana!sed manua6 hence6 this method is

    suitabe 'ith the use o$ com+uter. %he ana!sis is done 'ith matri e9uation 'hich the sti$$ness

    matri is derived $rom the +h!sica conditions o$ the structura members. %he reative sti$$ness

    matri is the $undament e9uation $or the ana!sis o$ the structure member.

    20

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    (a)

    (b)

    (ig)re , a and *b (inite element analy!e! +ith Str)Soft !ho+ing !tre!! di!trib)tion on floor and +all!

    igure a and b sho's the use o$ ) ana!sis to evauate the stresses $or a concrete $oor and'a. Obvious!6 the +rogramme is sensitivit! that the meshes are $iner at su++ort region 'ere

    ike! stresses are o+tima.

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    ii. Resut +roduce $rom ana!sis is more re$ine and not a++roimated vaves ike others

    iii. More com+atibe and ess tedious to +rogram 'ith man! +rogramming anguages.

    %$. Summary of hapter %

    %he eariest section o$ cha+ter +recise! stated the subject o$ interest to be revie' $or success$u

    justi$ication o$ the research aim. %he historica conce+t o$ structura engineering 'as revie'ed

    more reative in concern to ho' the structura ana!sis and design have been o+timise $rom the

    +re+aration time preparation time 15"5/1,25 to the Consolidation period 1(/1(5). %he

    contribution o$ great mathematicians 'hom articuated the in$initesima a++roach $or ana!sing

    structura +robem describes the initia stages o$ structura o+timisation $rom the basic Robert

    *ookeGs &a' o$ easticit!. ndoubted!6 it coud not be disagreed that the +er9uisite o$ structura

    ana!sis is materia mechanics 'hereb! the designer design $or a sa$er oad to resistance b! the

    structure. %hus6 $ather eaboration 'here discussede+aining the Integration1(5/1("5- and the

    diffusion era 1("5 ti +resent- com+uter +rograms buit 'ith mathematica e9uations are used to

    $aciitate the s+eed and accurac! o$ o+timisation o$ more com+e structura engineering +robems.

    im+i$ied ana!tica method initia deveo+ed b! man! other researchers common! used $or

    indeterminate structure 'hich is a subject o$ this research conce+ts 'here e+ained. %he reevance

    o$ this sim+i$ied ana!tica method 'as sti em+hasi8ed in the cha+ter to be $ound use$u $or

    vaidation o$ com+utationa resuts.

    &ast!6 inite eement method ado+ted $or carr!out out numerous numerica simuation 'as

    revie'ed6 more on the ) +ackage to be used $or this research truo$t. %he ben$its o$ using the

    truo$t ) +ackage in regards to sim+i$ied ana!tica methods 'ere highighted and $riend!

    gra+hics inter$ace $or visua sensation $or o+timisation o$ a muti/store! $ramed structure o$

    eements.

    Structural optimisation of '(M structural analysis and

    design

    22

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    $"$" 4iscuss 5o0 chart

    $"$% ommon 1ighlight methods for structural optimisation

    Boundar! conditions6

    mesh sensitivit!

    +er$ormance method on the basis o$ +h!sica de$ormation6

    materia +ro+erties

    . Results presentation2 Interpretation and alidation

    23

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    24

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    !ppendi9 !

    Table 2 Re!earch #nat Chart

    Months

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    !ppendi9 B

    Ri!- !!e!!ment

    Table 3 Ri!- !!e!!ment Table

    ;ossibe Risks RemediesRisk

    ;robabiit!Rating

    1 )ectrica shocksAvoid i9uid substances

    around 'orking area

    1 out 1

    sittingso'

    27entiation in 'orking

    environment

    )nsure su$$icient o!gen

    and cean air circuates b!'orking cose to the

    'indo'.

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    References Adu6 M.E 24-6 #om+uter Basis6 A++ication and ;rogramming6 Onibonadua ;ubisher6

    Akure

    Arora6 C 212-. Introduction to O+timum 0esign 3rd )d-6 )sevier6 ,( ++

    Atkinson6 R.#. and

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    ;a+aambros6 ;.F.6